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Finding the Third Proportional to 308,604 and 480,949.50

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Solution

The third proportional to 308,604 and 480,949.50 is: 749,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,604 : 480,949.50 = 480,949.50 : x
  2. Step 2: Convert to fraction form
    308,604/480,949.50 = 480,949.50/x
  3. Step 3: Cross multiply
    308,604x = 480,949.50 × 480,949.50
  4. Step 4: Simplify right side
    308,604x = 231,312,421,550.25
  5. Step 5: Solve for x
    x = 231,312,421,550.25/308,604
  6. Step 6: Final answer
    x = 749,544.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.